JEE Main 2024 Mathematics question
Let 3, 7, 11, 15, …, 403 and 2, 5, 8, 11, …, 404 be two arithmetic progressions. Then the sum of the common terms in them, is equal to .
Answer: 6699
Solution
Common terms 11, 23, …, 395 (common difference lcm(4, 3) = 12): 33 terms with sum 33 × 203 = 6699.